Find The Percent Cost Of The Total Spent On Each Category:- Equipment: \$36 - Fees: \$158- Transportation: \$59A. 15\%, 60\%, 35\% B. 10\%, 70\%, 20\% C. 11\%, 62\%, 27\% D. 14\%, 62\%, 23\%

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Introduction

In various fields, such as business, finance, and mathematics, understanding percentages is crucial for making informed decisions and analyzing data. One common task is to find the percent cost of the total spent on each category. In this article, we will explore how to calculate percentages and apply this knowledge to a real-world scenario.

What are Percentages?

A percentage is a way to express a value as a fraction of 100. It is calculated by dividing a value by the total and multiplying by 100. Percentages are used to represent proportions, rates, and ratios in various contexts.

Calculating Percentages: A Step-by-Step Guide

To calculate the percent cost of each category, we need to follow these steps:

  1. Add up the costs: First, we need to add up the costs of each category. In this case, we have three categories: Equipment, Fees, and Transportation. The costs are $36, $158, and $59, respectively.
  2. Calculate the total cost: Next, we need to calculate the total cost by adding up the costs of all categories. Total cost = $36 + $158 + $59 = $253.
  3. Calculate the percentage for each category: Now, we need to calculate the percentage for each category by dividing the cost of each category by the total cost and multiplying by 100.

Calculating Percentages for Each Category

Let's calculate the percentages for each category using the given options:

Option A: 15%, 60%, 35%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Option B: 10%, 70%, 20%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Option C: 11%, 62%, 27%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Option D: 14%, 62%, 23%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Discussion

As we can see from the calculations above, the percentages for each category are the same for all options. This is because the total cost is the same for all options, and the costs of each category are the same.

Conclusion

In conclusion, calculating percentages is a straightforward process that involves dividing a value by the total and multiplying by 100. By following the steps outlined in this article, you can calculate the percent cost of each category and make informed decisions in various fields.

Real-World Applications

Calculating percentages has numerous real-world applications, including:

  • Business: Calculating percentages is essential in business to understand profit margins, sales growth, and customer satisfaction.
  • Finance: Percentages are used to calculate interest rates, investment returns, and credit scores.
  • Mathematics: Calculating percentages is a fundamental concept in mathematics that is used to solve problems in algebra, geometry, and calculus.

Final Thoughts

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of 100. It is calculated by dividing a value by the total and multiplying by 100.

Q: How do I calculate a percentage?

A: To calculate a percentage, you need to follow these steps:

  1. Add up the costs: First, you need to add up the costs of each category.
  2. Calculate the total cost: Next, you need to calculate the total cost by adding up the costs of all categories.
  3. Calculate the percentage for each category: Now, you need to calculate the percentage for each category by dividing the cost of each category by the total cost and multiplying by 100.

Q: What is the formula for calculating a percentage?

A: The formula for calculating a percentage is:

Percentage = (Value ÷ Total) x 100

Q: How do I calculate the percentage for each category using the given options?

A: Let's calculate the percentages for each category using the given options:

Option A: 15%, 60%, 35%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Option B: 10%, 70%, 20%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Option C: 11%, 62%, 27%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Option D: 14%, 62%, 23%

  • Equipment: ($36 ÷ $253) x 100 = 14.2%
  • Fees: ($158 ÷ $253) x 100 = 62.6%
  • Transportation: ($59 ÷ $253) x 100 = 23.3%

Q: Why are the percentages for each category the same for all options?

A: The percentages for each category are the same for all options because the total cost is the same for all options, and the costs of each category are the same.

Q: What are some real-world applications of calculating percentages?

A: Calculating percentages has numerous real-world applications, including:

  • Business: Calculating percentages is essential in business to understand profit margins, sales growth, and customer satisfaction.
  • Finance: Percentages are used to calculate interest rates, investment returns, and credit scores.
  • Mathematics: Calculating percentages is a fundamental concept in mathematics that is used to solve problems in algebra, geometry, and calculus.

Q: How can I practice calculating percentages?

A: You can practice calculating percentages by using online calculators, worksheets, or real-world examples. You can also try solving problems on your own and checking your answers with a calculator or a friend.

Q: What are some common mistakes to avoid when calculating percentages?

A: Some common mistakes to avoid when calculating percentages include:

  • Rounding errors: Make sure to round your answers to the correct number of decimal places.
  • Dividing by zero: Make sure to check that you are not dividing by zero.
  • Incorrect calculations: Double-check your calculations to make sure they are correct.

Conclusion

Calculating percentages is a crucial skill that has numerous real-world applications. By following the steps outlined in this article and practicing regularly, you can become proficient in calculating percentages and make informed decisions in various fields.